A comment on the Gelfand-Yaglom theorem, zeta functions and heat kernels for PT-symmetric Hamiltonians

作者:Dunne Gerald V*; Min Hyunsoo
来源:Journal of Physics A-Mathematical and Theoretical, 2009, 42(27): 272001.
DOI:10.1088/1751-8113/42/27/272001

摘要

We propose a numerical method for computing zeta functions for general classes of Hamiltonians, based on the Gelfand-Yaglom theorem, which computes the determinant without needing to compute the eigenvalues. We verify that this agrees with known analytic results for certain Hermitean Hamiltonians, and we present numerical evidence that it may extend also to non-Hermitean PT-symmetric Hamiltonians.

  • 出版日期2009-7-10

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